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Finding the Third Proportional to 49,978 and 107,365

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Solution

The third proportional to 49,978 and 107,365 is: 230,646.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,978 : 107,365 = 107,365 : x
  2. Step 2: Convert to fraction form
    49,978/107,365 = 107,365/x
  3. Step 3: Cross multiply
    49,978x = 107,365 × 107,365
  4. Step 4: Simplify right side
    49,978x = 11,527,243,225
  5. Step 5: Solve for x
    x = 11,527,243,225/49,978
  6. Step 6: Final answer
    x = 230,646.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.